Pessimist Singularitarian

#5
December 16th, 2016,
04:31
Originally Posted by

**zekea**
Okay this is what my teacher did but something is confusing me.

Based on Khans' video here

Skip to 4:00

Basically according to the power rule you have Log a (c)^d = bd . He brought the d down to the other side.

So in exp form A^(bd) = C^d so shouldn't the answer be p^(mn) = n rather than P^(q/m) = n ?

If I was given:

$ \displaystyle \log_a\left(c^d\right)=bd$

I would first use the identity $\log_a\left(b^c\right)=c\cdot\log_a(b)$ to write:

$ \displaystyle d\cdot\log_a\left(c\right)=bd$

Next, divide through by $d$:

$ \displaystyle \log_a\left(c\right)=b$

Finally, convert from logarithmic to exponential form:

$ \displaystyle c=a^b$